Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 979571: if the value of A1= 1/2 and A9=64. what is the value of r in geometric sequence
Click here to see answer by ikleyn(52788)

Question 979587: Write an equation for the sequence of numbers below, in terms of n.
3 6 10 15 21
Click here to see answer by ikleyn(52788)

Question 979573: What is the missing number at the beginning of this sequence? and how do you work it out?
_, 5, 9, 26, 103
Click here to see answer by Edwin McCravy(20056)

Question 979857: what is the first number in the sequence, if the number of the sequence is 17, and the second is 3?
Click here to see answer by Alan3354(69443)

Question 979908: The sum of the first five terms of an AP is 10, the sum of their squares is 380. Find the first term and common difference?
Click here to see answer by ikleyn(52788)

Question 979892: Wage Sequence. Adahy is paid $9.80 per hour for working at Red Freight Limited. Each year he receives a $1.10 hourly raise. Give a sequence that lists Adahy's hourly wage over a 10-year period.
Click here to see answer by ikleyn(52788)

Question 979912: The number of a sequence is 17, if the second number is 3, what is the first number?
Click here to see answer by Alan3354(69443)

Question 979982: 12,24,21,42,39,78..... find the next no.
Click here to see answer by rothauserc(4718)

Question 979990: Given that,the number of sequence is 17,the second number is 3.what is the first term?
Click here to see answer by Alan3354(69443)

Question 980018: 16,6,68,88, ?,98
Click here to see answer by josh_jordan(263)

Question 980122: 6,28,496,8128
Click here to see answer by Edwin McCravy(20056)

Question 980120: Find the sum of all positive even integers from 1-100

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Question 980120: Find the sum of all positive even integers from 1-100

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Question 980165: Which term of the series 79,77,75___ is 47.find out the an.
Click here to see answer by MathLover1(20850)

Question 980215: An exponential sequence is such that the difference between the third term and the first term is 48. The difference between the fourth term and the second term is 144. Find
(i) The common ratio
(ii) The first term

Click here to see answer by josgarithmetic(39618)

Question 980314: The number of the sequence is 17 what is the fast number if the second is 3

Click here to see answer by Alan3354(69443)

Question 979015: Suppose that you have saved P25 the first day a week, P50 on the second day, P100 on the third day, and continue to double your savings each day? How much will you save on the 20th day? What will be your total savings for 20 days?
Click here to see answer by Edwin McCravy(20056)

Question 979234: Please, what is the continuation of this.
2,24,?,320,750,?
Click here to see answer by Edwin McCravy(20056)

Question 980478: The number of the sequence is 17, if the next number is 3, what is the first number?
Click here to see answer by 6567891151(12)

Question 980557: if the number in the sequence is 17and the second number is 3 what is the first number
Click here to see answer by richwmiller(17219)

Question 980657: What is the first number if the second is 17 and the third is 3
Click here to see answer by Cromlix(4381)

Question 980702: Find the 100th term of this arithmetic sequence. 5,8,11,14,17

Click here to see answer by Edwin McCravy(20056)

Question 980822: In a geometric sequence, the sum of the fourth term to the sixth term is 1\3 the sum of the first three terms. Find the common ratio.
Click here to see answer by KMST(5328)

Question 980992: if the number of sequence is 17 and the second number is 3 what is the first number

Click here to see answer by Fombitz(32388)

Question 980992: if the number of sequence is 17 and the second number is 3 what is the first number

Click here to see answer by winston5881(1)

Question 980991: The number of the sequence is 17, if the second number is 3, what is the first number?
Click here to see answer by Fombitz(32388)

Question 980990:
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Question 981067: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 6 and Y is 6, Z has the value 12.
What is the value of Z when X = 13, and Y = 10

Click here to see answer by rothauserc(4718)

Question 981073: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 6, Z has the value 9.5.
What is the value of Z when X = 8, and Y = 12
Click here to see answer by ikleyn(52788)

Question 981006: If S1,S2,S3 be the sum of n,2n,3n terms respectively of an A.P.Then (a)S3=S1+S2

(b)S3=2(S1+S2) (c)S3=3(S2-S1) (d)S3=3(S1+S2)

If Sn denotes the sum of first n terms of an A.P and S2n=3Sn,then S3n/Sn=

Click here to see answer by KMST(5328)

Question 980977: Given that the fourth term in the expansion of (px + 1/x)^n is 5/2 . find the values of n and p, where n is positive integer.
Click here to see answer by Edwin McCravy(20056)

Question 981253: The variable Z is inversely proportional to X. When X is 5, Z has the value 2.2.
What is the value of Z when X = 12
Click here to see answer by Cromlix(4381)

Question 981252: The variable Z is directly proportional to X. When X is 3, Z has the value 54.
What is the value of Z when X = 12
Click here to see answer by Cromlix(4381)

Question 981254: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 10 and Y is 4, Z has the value 47.5.
What is the value of Z when X = 13, and Y = 10
Click here to see answer by Cromlix(4381)

Question 981262: On a particular day, the wind added 4 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 4 miles per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 66 miles with the wind, he could go only 42 miles against the wind.What is his normal bicycling speed with no wind?
Click here to see answer by Alan3354(69443)

Question 981261: On a particular day, the wind added 5 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 5 miles per hour from her rate on her return trip. Jaime found that in the same amount of time she could row 75 miles with the wind, she could go only 45 miles against the wind.What is her normal rowing speed with no wind?
Click here to see answer by macston(5194)

Question 981214: if 1st share is twice of 2nd three times of 3rd and five times of 5th. what is the 1st share if total amount is Rs.372.
Click here to see answer by macston(5194)

Question 981409: The 10th term of A.P is -5 and the 34th term is -57. Find the 15th term

Click here to see answer by Timnewman(323)

Question 981574: 1. A new square is formed by joining the midpoints of the consecutive
sides of a square 8 inches on a side. If the process is continued until
there are already six squares, find the sum of the areas of all squares
in square inches.
2.In President Sergio Osme�a High School, suspension of classes is
announced through text brigade. One stormy day, the principal
announces the suspension of classes to two teachers, each of whom
sends this message to two other teachers, and so on. Suppose that
text messages were sent in five rounds, counting the principal�s text
message as the first, how many text messages were sent in all?
Click here to see answer by solver91311(24713)

Question 981572: 1. A new square is formed by joining the midpoints of the consecutive
sides of a square 8 inches on a side. If the process is continued until
there are already six squares, find the sum of the areas of all squares
in square inches.
2.In President Sergio Osme�a High School, suspension of classes is
announced through text brigade. One stormy day, the principal
announces the suspension of classes to two teachers, each of whom
sends this message to two other teachers, and so on. Suppose that
text messages were sent in five rounds, counting the principal�s text
message as the first, how many text messages were sent in all?

Click here to see answer by solver91311(24713)

Question 981570: 1.Find k so that the numbers 2k+1, 3k+4, and 7k+6 form a geometric
sequence
2.Glenn bought a car for Php600,000. The yearly depreciation of his car is
10% of its value at the start of the year. What is its value after 4 years?
3.During a free-fall, a skydiver jumps 16 feet, 48 feet, and 80 feet on the
first, second, and third fall, respectively. If he continues to jump at this
rate, how many feet will he have jumped during the tenth fall?
4. Twelve days before Valentine�s Day, Carl decided to give Nicole
flowers according to the Fibonacci sequence. On the first day, he sent
one red rose, on the second day, two red roses, and so on. How many
roses did Nicole receive during the tenth day?

Click here to see answer by solver91311(24713)

Question 981614: Can you please help me find the sixth term in the expansion of
(2c^4+d^3)^10
Click here to see answer by stanbon(75887)

Question 981623: What is the next number in the following sequence ... 100, 90, 91, 81, 82, 72, __.
Click here to see answer by rfer(16322)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790